Abstract
In this paper, a study based on iterative method is presented. This method consists in generating a recursive relationship between a wave source and reflected waves from the discontinuity plane which is divided into cells. A high computational speed has been achieved by using Fast Modal Transform (FMT). This work is followed by an application of triangular discretization which offers several advantages over rectangular discretization. The right bend can be simulated by both rectangular and triangular cells, while the mitred bend can be exactly conformed only by the triangular mesh. Deficiencies in the rectangular approximation are identified. The computed results have been successfully compared with published data.
Highlights
Methods based on an integral formulation [1] seem to be accurate and rigorous tools for the treatment of different planar structures (Tee, Gap, Bend, Step...)Among these methods we can distinguish methods lying in an iterative process which resolve an eigenvalue problem, and other which, by the introduction of an excitation source, reduce the equations into an inhomogeneous system via the application of the method of moments
We have developed an iterative method based on the wave concept [4-]-[5]-[6], where choice of bases functions does not arise any more
The iterative process is given in figure 2, for one iteration. It uses the FMT (Fast Modal Transform) deduced from the FFT (Fast Fourier Transform) which makes it possible to accelerate the digital processing on the whole of the pixels of the planar considered circuit
Summary
Methods based on an integral formulation [1] seem to be accurate and rigorous tools for the treatment of different planar structures (Tee, Gap, Bend, Step...). The planar structure, placed in a metallic box (spectral domain) is divided into cells (spatial domain) and includes three subdomains: Source, Metal and Dielectric This concept consists in successive reflections between the circuit plane and its two sides (upper and low metallic box). The triangles conform exactly to any angled shapes in the discontinuity, and curved forms are reproduced in a line-segment rather than stair-case approximation using rectangular cells In this simulation, by computing the S parameters, we show deficiencies in rectangular approximation for the mitred bend, so efficient solution requires efficient computation
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